Steven R. Costenoble

A long-awaited detailed account of an ordinary equivariant (co)homology theory for compact Lie Group actions that is fully stable and has Poincaré Duality for all G-manifolds Extends all the commonly used ordinary equivariant theories, including Borel (co)homology, Bredon-Illman (co)homology, and RO(G)-graded ordinary (co)homology Includes numerous motivating examples and calculations Includes guides to reading on several levels, from a first reading avoiding technicalities to more in-depth readings The first published results on the theory for actions by general compact Lie groups Includes supplementary material: sn.pub/extras